Problems on spherical maximal functions
Joris Roos, Andreas Seeger
TL;DR
This paper surveys conjectures and results related to spherical maximal functions, focusing on challenges posed by fractal dilation sets.
Contribution
It provides a comprehensive overview of both classical and recent developments in the study of spherical maximal functions, highlighting open problems.
Findings
Discussion of classical and recent results
Emphasis on fractal dilation set problems
Identification of open conjectures
Abstract
We survey old and new conjectures and results on various types of spherical maximal functions, emphasizing problems with a fractal dilation set.
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